Asymptotical behavior of piecewise contractions of the interval.
Duration: 1 hour 3 mins
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About this item
| Description: |
Nogueira, A (Aix Marseille Université)
Friday 20 June 2014, 14:30-15:30 |
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| Created: | 2014-07-10 11:57 |
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| Collection: | Interactions between Dynamics of Group Actions and Number Theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Nogueira, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | A map f:[0,1)→[0,1) is a piecewise contraction of n intervals, if there exists a partition of [0,1) into intervals I1,…,In and every restriction f|Ii is an injective Lipschitz contraction. Among other results we will show that a typical piecewise contraction of n intervals has at least one and at most n periodic orbits. Moreover, for every point x, the ω-limit set of x equals a periodic orbit.
The talk is based in a joint work with B. Pires and R. Rosales. |
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